Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
596 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 149 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#15693046 | C2 | semidirect |
| 2. C22×D824 | C2 | semidirect |
| 3. #20268355 | C2 | semidirect |
| 4. #20268177 | C2 | semidirect |
| 5. #20268176 | C2 | semidirect |
| 6. #20268166 | C2 | semidirect |
| 7. #20267746 | C2 | semidirect |
| 8. C2×#135×C103 | C2 | semidirect |
| 11. C2×#13110092 | C22 | semidirect |
| 15. C2×#13110090 | C22 | semidirect |
| 17. #15693017 | C22 | semidirect |
| 18. #15693010 | C22 | semidirect |
| 22. #15692931 | C22 | semidirect |
| 23. C8×Dic103 | C22 | semidirect |
| 26. C2×Q16×C103 | C22 | semidirect |
| 27. C2×SD16×C103 | C22 | semidirect |
| 28. C2×D8×C103 | C22 | semidirect |
| 40. #13110089 | D4 | semidirect |
| 56. C2×C8×C103 | D4 | semidirect |
| 102. C103 | #3155 | semidirect |
| 104. C2×#135 | D103 | semidirect |
| 115. C2×Q16 | C2×D103 | semidirect |
| 117. C2×SD16 | C2×D103 | semidirect |
| 122. C2×D8 | C2×D103 | semidirect |
| 154. C2×C8 | C22⋊D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693046 | 2 |
| C22×D824 | 2 |
| #20268355 | 2 |
| #20268177 | 2 |
| #20268176 | 2 |
| #20268166 | 2 |
| #20267746 | 2 |
| C2×#135×C103 | 2 |
| #3155 | 103 |